Question

Consider a unity feedback control system with open loop transfer function G(s) = K/s(s+1).

The steady state error for unit step input is ___.

A. 0
B. K
C. 1/K
D. Infinity

Answer 1

The steady state error for a unity feedback control system with open loop transfer function G(s) = K/s(s+1) and a unit step input is Infinity (D. Infinity).

Step-by-step explanation:

In a unity feedback control system with open loop transfer function G(s) = K/s(s+1), the steady state error for a unit step input can be determined by evaluating the system's transfer function at s = 0.

When s = 0, the transfer function becomes G(0) = K/(0(0+1)) = K/0. This indicates that the steady state error will be infinity (D. Infinity) for a unit step input.